CRITICAL PRESSURES FOR RADIALLY SUPPORTED CYLINDERS.
Abstract
A study is made to find the critical pressures for radially supported cylinders with simple ends and subjected to uniform radial pressure. The large deflection theory developed by Langhaar and Boresi is used to find (1) the critical pressures, considering only infinitesimal deflections (Euler load), and (2) the critical pressures for snap-through buckling (energy load or Tsein's critical pressure). Two types of radial supports are utilized in this study. The first type, designated by 'elastic foundation,' is used when the support exhibits linear spring characteristics in both tension and compression. The second type, designated by 'soil foundation,' is used when the support exhibits linear spring characteristics only in compression and offers no resistance while in tension, thus representing the behavior of soil more closely. It is found that the critical pressure coefficient is a function of the length-to-radius ratio, radius-to-thickness ratio, and the coefficient of foundation. It is shown that energy loads occur for relatively short, thin, and lightly supported cylinders. In other cases energy loads and Euler loads are found to be quite close. Cylinders supported by soil foundations have lower critical pressures than cylinders supported by elastic foundations and are also susceptible to snap-through over a wider range of parameters. The number of waves in the buckled cylinder is in general smaller for energy loads than for Euler loads. Graphs are given showing energy and Euler loads over a wide range of parameters. A few tabulated results also are given for representative cases. Analytical results are compared with Bulson's experimental data on buried cylinders. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1966
- Accession Number
- AD0627082
Entities
People
- C. V. Chelapati
Organizations
- Naval Facilities Engineering Service Center